57630 has 32 divisors (see below), whose sum is σ = 147744. Its totient is φ = 14336.

The previous prime is 57601. The next prime is 57637. The reversal of 57630 is 3675.

57630 is nontrivially palindromic in base 16.

57630 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

57630 is a nontrivial binomial coefficient, being equal to C(340, 2).

It is a junction number, because it is equal to n+sod(n) for n = 57597 and 57606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454 + ... + 566.

It is an arithmetic number, because the mean of its divisors is an integer number (4617).

2⁵⁷⁶³⁰ is an apocalyptic number.

57630 is the 339-th triangular number and also the 170-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872).

57630 is an abundant number, since it is smaller than the sum of its proper divisors (90114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57630 is a wasteful number, since it uses less digits than its factorization.

57630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 57630 is about 240.0624918641. The cubic root of 57630 is about 38.6262790079.

It can be divided in two parts, 576 and 30, that added together give a palindrome (606).

The spelling of 57630 in words is "fifty-seven thousand, six hundred thirty".